MATH SOLVE

4 months ago

Q:
# What is 488.4 as a fraction?

Accepted Solution

A:

Solution: 488.4 as a fraction is 2442/5MethodsConverting 488.4 to a fraction, Step-by-StepStep 1:The first step to converting 488.4 to a fraction is to re-write 488.4 in the form p/q where p and q both are positive integers. To start with, 488.4 can be written as simply 488.4/1 to technically be written as a fraction.Step 2:Next, we will count the number of fractional digits after the decimal point in 488.4, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 488.4/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 488.4/1 each by 10:488.4×101×10=488410\frac{488.4 × 10}{1 × 10} = \frac{4884}{10}1×10488.4×10=104884Step 3:Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:488410=24425\frac{4884}{10} = \frac{2442}{5}104884=52442Become a Pro at Converting to FractionsBecome a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:What is 304.7 as a fraction?What is 69.71 as a fraction?What is 606.1 as a fraction?What is 59.63 as a fraction?What is 369.9 as a fraction?